Abstract
We investigate the Neumann type boundary value problems for anisotropic pseudo-Maxwell equations in screen type problems. It is shown that the problem is well posed in tangent Sobolev spaces and unique solvability and regularity results are obtained via potential methods and the coercivity result of Costabel on the bilinear form associated to pseudo-Maxwell equations.
Mathematics Subject Classification (2010). Primary 35J25; Secondary 35C15.
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Dedicated to our friend and colleague Vladimir Rabinovich on the occasion of his 70th birthday anniversary
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Chkadua, O., Duduchava, R., Kapanadze, D. (2013). Potential Methods for Anisotropic Pseudo-Maxwell Equations in Screen Type Problems. In: Karlovich, Y., Rodino, L., Silbermann, B., Spitkovsky, I. (eds) Operator Theory, Pseudo-Differential Equations, and Mathematical Physics. Operator Theory: Advances and Applications, vol 228. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0537-7_5
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DOI: https://doi.org/10.1007/978-3-0348-0537-7_5
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